@article{e8921ccce22c45f898a085638287e0a8,

title = "Random walks in a queueing network environment",

abstract = "We propose a class of models of random walks in a random environment where an exact solution can be given for a stationary distribution. The environment is cast in terms of a Jackson/Gordon-Newell network although alternative interpretations are possible. The main tool is the detailed balance equations. The difference compared to earlier works is that the position of the random walk influences the transition intensities of the network environment and vice versa, creating strong correlations. The form of the stationary distribution is closely related to the well-known product formula.",

author = "M. Gannon and E. Pechersky and Y. Suhov and A. Yambartsev",

note = "Funding Information: We thank the anonymous referee and V. Belitsky for corrections/suggestions and express gratitude to the following institutions for hospitality and support: MG to the Coordination for the Improvement of Higher Education Personnel (CAPES) and the National Counsel of Technological and Scientific Development (CNPq); YS to the Institute of Mathematical and Computer Sciences, University of S{\~a}o Paulo and the Department of Mathematics, Penn State University; AY to the S{\~a}o Paulo Research Foundation (FAPESP), CNPq, and the Deptartment of Pharmacy, Oregon State University. The research of E. Pechersky was carried out at the Institute for Information Transmission Problems (IITP), Russian Academy of Science and funded by the Russian Foundation for Sciences (project number 14-50-00150). Publisher Copyright: {\textcopyright} Applied Probability Trust 2016.",

year = "2016",

month = jun,

doi = "10.1017/jpr.2016.12",

language = "English (US)",

volume = "53",

pages = "448--462",

journal = "Journal of Applied Probability",

issn = "0021-9002",

publisher = "University of Sheffield",

number = "2",

}